71792800 has 72 divisors (see below), whose sum is σ = 179426016. Its totient is φ = 28035840.

The previous prime is 71792789. The next prime is 71792801. The reversal of 71792800 is 829717.

It is a super-2 number, since 2×71792800² = 10308412263680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71792801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33357 + ... + 35443.

It is an arithmetic number, because the mean of its divisors is an integer number (2492028).

Almost surely, 2^71792800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71792800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89713008).

71792800 is an abundant number, since it is smaller than the sum of its proper divisors (107633216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71792800 is a wasteful number, since it uses less digits than its factorization.

71792800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 71792800 is about 8473.0632005196. The cubic root of 71792800 is about 415.6173132541.

The spelling of 71792800 in words is "seventy-one million, seven hundred ninety-two thousand, eight hundred".